12102122220200 has 192 divisors, whose sum is σ = 28576555827120. Its totient is φ = 4765888512000.

The previous prime is 12102122220163. The next prime is 12102122220229. The reversal of 12102122220200 is 202222120121.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 1912019686564 + 10190102533636 = 1382758^2 + 3192194^2 .

It is a super-2 number, since 2×12102122220200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3757254590 + ... + 3757257810.

Almost surely, 2^{12102122220200} is an apocalyptic number.

12102122220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102122220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288277913560).

12102122220200 is an abundant number, since it is smaller than the sum of its proper divisors (16474433606920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102122220200 is a wasteful number, since it uses less digits than its factorization.

12102122220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12102122220200 its reverse (202222120121), we get a palindrome (12304344340321).

The spelling of 12102122220200 in words is "twelve trillion, one hundred two billion, one hundred twenty-two million, two hundred twenty thousand, two hundred".